86545809000000 has 1323 divisors, whose sum is σ = 361522484777181. Its totient is φ = 19737244800000.

The previous prime is 86545808999989. The next prime is 86545809000019. The reversal of 86545809000000 is 90854568.

The square root of 86545809000000 is 9303000.

It is a perfect power (a square), and thus also a powerful number.

86545809000000 is a `hidden beast` number, since 8 + 65 + 4 + 580 + 9 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 75822437081664 + 10723371918336 = 8707608^2 + 3274656^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 86545809000000.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 195362999779 + ... + 195363000221.

Almost surely, 2^{86545809000000} is an apocalyptic number.

86545809000000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

86545809000000 is the 9303000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86545809000000

86545809000000 is an abundant number, since it is smaller than the sum of its proper divisors (274976675777181).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86545809000000 is an frugal number, since it uses more digits than its factorization.

86545809000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

Adding to 86545809000000 its reverse (90854568), we get a palindrome (86545899854568).

The spelling of 86545809000000 in words is "eighty-six trillion, five hundred forty-five billion, eight hundred nine million", and thus it is an aban number.